471198500721 has 45 divisors (see below), whose sum is σ = 762329394651. Its totient is φ = 289918884528.

The previous prime is 471198500701. The next prime is 471198500783. The reversal of 471198500721 is 127005891174.

It is a happy number.

The square root of 471198500721 is 686439.

It is a perfect power (a square), and thus also a powerful number.

471198500721 is a `hidden beast` number, since 4 + 7 + 119 + 8 + 500 + 7 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69703920225 + 401494580496 = 264015^2 + 633636^2 .

It is not a de Polignac number, because 471198500721 - 2⁷ = 471198500593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (471198500701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 80310430 + ... + 80316296.

Almost surely, 2^471198500721 is an apocalyptic number.

471198500721 is the 686439-th square number.

471198500721 is the 343220-th centered octagonal number.

It is an amenable number.

471198500721 is a deficient number, since it is larger than the sum of its proper divisors (291130893930).

471198500721 is an frugal number, since it uses more digits than its factorization.

471198500721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11772 (or 5883 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 471198500721 in words is "four hundred seventy-one billion, one hundred ninety-eight million, five hundred thousand, seven hundred twenty-one".